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Spatial effect on the diffusion of discount stores (대형할인점 확산에 대한 공간적 영향)

  • Joo, Young-Jin;Kim, Mi-Ae
    • Journal of Distribution Research
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    • v.15 no.4
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    • pp.61-85
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    • 2010

  • Introduction: Diffusion is process by which an innovation is communicated through certain channel overtime among the members of a social system(Rogers 1983). Bass(1969) suggested the Bass model describing diffusion process. The Bass model assumes potential adopters of innovation are influenced by mass-media and word-of-mouth from communication with previous adopters. Various expansions of the Bass model have been conducted. Some of them proposed a third factor affecting diffusion. Others proposed multinational diffusion model and it stressed interactive effect on diffusion among several countries. We add a spatial factor in the Bass model as a third communication factor. Because of situation where we can not control the interaction between markets, we need to consider that diffusion within certain market can be influenced by diffusion in contiguous market. The process that certain type of retail extends is a result that particular market can be described by the retail life cycle. Diffusion of retail has pattern following three phases of spatial diffusion: adoption of innovation happens in near the diffusion center first, spreads to the vicinity of the diffusing center and then adoption of innovation is completed in peripheral areas in saturation stage. So we expect spatial effect to be important to describe diffusion of domestic discount store. We define a spatial diffusion model using multinational diffusion model and apply it to the diffusion of discount store. Modeling: In this paper, we define a spatial diffusion model and apply it to the diffusion of discount store. To define a spatial diffusion model, we expand learning model(Kumar and Krishnan 2002) and separate diffusion process in diffusion center(market A) from diffusion process in the vicinity of the diffusing center(market B). The proposed spatial diffusion model is shown in equation (1a) and (1b). Equation (1a) is the diffusion process in diffusion center and equation (1b) is one in the vicinity of the diffusing center. $$\array{{S_{i,t}=(p_i+q_i{\frac{Y_{i,t-1}}{m_i}})(m_i-Y_{i,t-1})\;i{\in}\{1,{\cdots},I\}\;(1a)}\\{S_{j,t}=(p_j+q_j{\frac{Y_{j,t-1}}{m_i}}+{\sum\limits_{i=1}^I}{\gamma}_{ij}{\frac{Y_{i,t-1}}{m_i}})(m_j-Y_{j,t-1})\;i{\in}\{1,{\cdots},I\},\;j{\in}\{I+1,{\cdots},I+J\}\;(1b)}}$$ We rise two research questions. (1) The proposed spatial diffusion model is more effective than the Bass model to describe the diffusion of discount stores. (2) The more similar retail environment of diffusing center with that of the vicinity of the contiguous market is, the larger spatial effect of diffusing center on diffusion of the vicinity of the contiguous market is. To examine above two questions, we adopt the Bass model to estimate diffusion of discount store first. Next spatial diffusion model where spatial factor is added to the Bass model is used to estimate it. Finally by comparing Bass model with spatial diffusion model, we try to find out which model describes diffusion of discount store better. In addition, we investigate the relationship between similarity of retail environment(conceptual distance) and spatial factor impact with correlation analysis. Result and Implication: We suggest spatial diffusion model to describe diffusion of discount stores. To examine the proposed spatial diffusion model, 347 domestic discount stores are used and we divide nation into 5 districts, Seoul-Gyeongin(SG), Busan-Gyeongnam(BG), Daegu-Gyeongbuk(DG), Gwan- gju-Jeonla(GJ), Daejeon-Chungcheong(DC), and the result is shown

    . In a result of the Bass model(I), the estimates of innovation coefficient(p) and imitation coefficient(q) are 0.017 and 0.323 respectively. While the estimate of market potential is 384. A result of the Bass model(II) for each district shows the estimates of innovation coefficient(p) in SG is 0.019 and the lowest among 5 areas. This is because SG is the diffusion center. The estimates of imitation coefficient(q) in BG is 0.353 and the highest. The imitation coefficient in the vicinity of the diffusing center such as BG is higher than that in the diffusing center because much information flows through various paths more as diffusion is progressing. A result of the Bass model(II) shows the estimates of innovation coefficient(p) in SG is 0.019 and the lowest among 5 areas. This is because SG is the diffusion center. The estimates of imitation coefficient(q) in BG is 0.353 and the highest. The imitation coefficient in the vicinity of the diffusing center such as BG is higher than that in the diffusing center because much information flows through various paths more as diffusion is progressing. In a result of spatial diffusion model(IV), we can notice the changes between coefficients of the bass model and those of the spatial diffusion model. Except for GJ, the estimates of innovation and imitation coefficients in Model IV are lower than those in Model II. The changes of innovation and imitation coefficients are reflected to spatial coefficient(${\gamma}$). From spatial coefficient(${\gamma}$) we can infer that when the diffusion in the vicinity of the diffusing center occurs, the diffusion is influenced by one in the diffusing center. The difference between the Bass model(II) and the spatial diffusion model(IV) is statistically significant with the ${\chi}^2$-distributed likelihood ratio statistic is 16.598(p=0.0023). Which implies that the spatial diffusion model is more effective than the Bass model to describe diffusion of discount stores. So the research question (1) is supported. In addition, we found that there are statistically significant relationship between similarity of retail environment and spatial effect by using correlation analysis. So the research question (2) is also supported.

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    • A Study on the Equiangular Problem in the Isoperimetric Problem of Polygons (다각형의 등주문제에서 등각의 문제 고찰)

    • Lee, Jaun;Choi, Keunbae
      • East Asian mathematical journal
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      • v.31 no.4
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      • pp.445-458
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      • 2015

    • In this paper, we provide a geometrical solving method about the equiangular problem appeared in the solving process of the isoperimetric problem of polygon. In fact we deal with the following problem in the view of the productive thinking centered on the circle: Let B and G be fixed points, and let $\bar{AB}=\bar{AP_1}=\bar{DP_1}=\bar{DP_2}=\bar{FP_2}=\bar{FP_3}=\bar{HP_{n-1}}=\bar{HG}$. Then find the position of moving points $P_i(1{\leq}i{\leq}n)$ to maximize the sum of areas of the triangles that lie on the line segment $\bar{BG}$.

    • https://doi.org/10.7858/eamj.2015.034 인용 PDF KSCI

    Porous bioactive glass ceramics for bone-tissue regeneration

    • Yun, Hui-Suk;Kim, Seung-Eon
      • Proceedings of the Materials Research Society of Korea Conference
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      • 2009.11a
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      • pp.7.2-7.2
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      • 2009

    • Nanoporous bioactive glass(NBG) ceramic with well interconnected pore structures were fabricated bytriblock copolymer templating and sol-gel techniques. Hierarchically porous BGbeads were also successfully synthesized by controlling the condition of solvent.The beads have hierarchically nano- and macro-pore structure with a sizesbetween several tens nanometers and several hundred micrometers. Both NBG andBG beads show superior bone-forming bioactivity and good in vitrobiodegradability. Biocompatibility both in vitro and in vivo were examed andwas revealed that it largely relies on the pore morphology as well ascomposition. Our synthetic process can be adapted for the purpose of preparingvarious bioceramics, which have excellent potential applications in the fieldof biomaterials such as tissue engineering and drug storage.

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    Analysis on Design Trend of Christian Dior - Focused on from 2003 to 2005 Collection - (크리스티앙 디오르의 디자인 경향 분석 - $2003{\sim}2005$년 컬렉션을 중심으로 -)

    • Cho, Jean-Suk;Jung, Ha-Kyung
      • The Research Journal of the Costume Culture
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      • v.15 no.5
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      • pp.825-837
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      • 2007

    • To analyze the design of Christian Dior, 216 pieces of Dior's works were collected and studied from the COLLECTION(Seoul: Dong Ah TV) from 2003 to 2005. The result is as follows. In recent three year period, Christian Dior maintained the feminine image and implemented different additions such as sexy, ethnic, avant-garde and casual image in every season. Also, to reflect a new trend or fashion sense, images of ethnic, retro, hippie or vintage were applied. In using color, different main color(YR, R, Y, BG, RP, B) were chosen every season to pursue variations. For the pattern usage, feminine beauty was presented by numerous applications of flowered pattern. Also the practice of pattern and hue in different rations in every season pursued variations in design.

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    Evolutionary Design for Multi-domain Engineering System - Air Pump

    • Seo, Ki-Sung
      • Proceedings of the Korean Institute of Intelligent Systems Conference
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      • 2005.11a
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      • pp.323-326
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      • 2005

    • This paper introduces design method for air pump system using bond graph and genetic programming to maximize outflow subject to a constraint specifying maximum power consumption. The air pump system is a mixed domain system which includes electromagnetic, mechanical and pneumaticelements. Therefore an appropriate approach for a better system for synthesis is required. Bond graphs are domain independent, allow free composition, and are efficient for classification and analysis of models, Genetic programming is well recognized as a powerful tool for open-ended search. The combination of these two powerful methods for evolution of multi-domain system, BG/GP, was tested for redesign of air pump system.

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    Nonlinear Dynamic Analysis using Petrov-Galerkin Natural Element Method (페트로프-갤러킨 자연요소법을 이용한 비선형 동해석)

    • Lee, Hong-Woo;Cho, Jin-Rae
      • Proceedings of the KSME Conference
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      • 2004.11a
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      • pp.474-479
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      • 2004

    • According to our previous study, it is confirmed that the Petrov-Galerkin natural element method (PGNEM) completely resolves the numerical integration inaccuracy in the conventional Bubnov-Galerkin natural element method (BG-NEM). This paper is an extension of PG-NEM to two-dimensional nonlinear dynamic problem. For the analysis, a constant average acceleration method and a linearized total Lagrangian formulation is introduced with the PG-NEM. At every time step, the grid points are updated and the shape functions are reproduced from the relocated nodal distribution. This process enables the PG-NEM to provide more accurate and robust approximations. The representative numerical experiments performed by the test Fortran program, and the numerical results confirmed that the PG-NEM effectively and accurately approximates the nonlinear dynamic problem.

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